Search a number
-
+
5532480 = 2632517113
BaseRepresentation
bin10101000110101101000000
3101102002010200
4111012231000
52404014410
6314325200
765011452
oct25065500
911362120
105532480
1131396a8
121a29800
1311b9275
14a402d2
157443c0
hex546b40

5532480 has 168 divisors, whose sum is σ = 20327112. Its totient is φ = 1376256.

The previous prime is 5532469. The next prime is 5532487. The reversal of 5532480 is 842355.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 5419584 = 336^2 + 2328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5532487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48904 + ... + 49016.

Almost surely, 25532480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10163556).

5532480 is an abundant number, since it is smaller than the sum of its proper divisors (14794632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5532480 is a wasteful number, since it uses less digits than its factorization.

5532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5532480 is about 2352.1224457923. The cubic root of 5532480 is about 176.8642068689.

It can be divided in two parts, 5532 and 480, that multiplied together give a triangular number (2655360 = T2304).

The spelling of 5532480 in words is "five million, five hundred thirty-two thousand, four hundred eighty".